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Small forcing weak square Diamond SNR Strongly Luzin set Singular cardinals combinatorics Weakly compact cardinal Large Cardinals Singular Density Rado's conjecture reflection principles Dowker space Foundations Knaster Mandelbrot set Ostaszewski square Reflecting stationary set Shelah's Strong Hypothesis Chang's conjecture projective Boolean algebra unbounded function Uniformly coherent Universal Sequences Filter reflection Successor of Regular Cardinal Kurepa Hypothesis strongly bounded groups Minimal Walks Almost-disjoint family indecomposable ultrafilter Uniformization Absoluteness positive partition relation Postprocessing function Axiom R specializable Souslin tree Coherent tree ZFC construction square principles Generalized descriptive set theory Fast club Sierpinski's onto mapping principle Rainbow sets Diamond-sharp Vanishing levels xbox Was Ulam right? Slim tree Closed coloring Analytic sets Distributive tree Ascent Path Strongly compact cardinal Forcing Axioms higher Baire space stationary hitting countably metacompact Subadditive Uniformly homogeneous Well-behaved magma Parameterized proxy principle regressive Souslin tree transformations Ramsey theory over partitions Selective Ultrafilter Commutative projection system Generalized Clubs P-Ideal Dichotomy Subtle cardinal weak diamond Lipschitz reduction Hedetniemi's conjecture Forcing Microscopic Approach C-sequence O-space Luzin set tensor product graph Cardinal function Square-Brackets Partition Relations Jonsson cardinal club_AD Subtle tree property Sakurai's Bell inequality stationary reflection Prikry-type forcing Antichain L-space ccc Martin's Axiom Rock n' Roll PFA(S)[S] Strong coloring Cardinal Invariants coloring number free Boolean algebra GMA HOD approachability ideal Hindman's Theorem Almost Souslin Dushnik-Miller middle diamond Sigma-Prikry Non-saturation Partition Relations Singular cofinality Fat stationary set Commutative cancellative semigroups Almost countably chromatic Amenable C-sequence 54G20 PFA Countryman line Poset Erdos-Hajnal graphs Aronszajn tree free Souslin tree Precaliber Club Guessing Greatly Mahlo incompactness S-Space polarized partition relation very good scale Intersection model super-Souslin tree sap b-scale weak Kurepa tree Ulam matrix Ineffable cardinal diamond star Constructible Universe AIM forcing Erdos Cardinal Successor of Singular Cardinal Iterated forcing Hereditarily Lindelöf space Respecting tree Nonspecial tree Chromatic number full tree Fodor-type reflection Subnormal ideal Local Club Condensation. nonmeager set Diamond for trees Reduced Power Prevalent singular cardinals Souslin Tree Cohen real Whitehead Problem stick square Knaster and friends Open Access OCA
Category Archives: Generalized Descriptive Set Theory
Fake Reflection
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. We introduce a generalization of stationary set reflection which we call filter reflection, and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We … Continue reading
Inclusion modulo nonstationary
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. A classical theorem of Hechler asserts that the structure